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arxiv: 0806.0592 · v2 · submitted 2008-06-03 · 🧮 math.AG

Jumping numbers of a unibranch curve on a smooth surface

classification 🧮 math.AG
keywords curvejumpingnumberspointsingulartermsunibranchcanonical
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A formula for the jumping numbers of a curve unibranch at a singular point is established. The jumping numbers are expressed in terms of the Enriques diagram of the log resolution of the singularity, or equivalently in terms of the canonical set of generators of the semigroup of the curve at the singular point.

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